Question

Using numerical analysis and the Quotient Rule of Logarithms, how can log11 (14/t)
be rewritten?(1 point)
Responses

log1114−log11t
logarithm subscript 11 baseline 14 minus logarithm subscript 11 baseline t

log11(14−t)
logarithm subscript 11 baseline left parenthesis 14 minus t right parenthesis

log1114+log11t
logarithm subscript 11 baseline 14 plus logarithm subscript 11 baseline t

log11t−log1114

Answer 1

Using the Quotient Rule of Logarithms, which states that \(\log_b \left(\frac{a}{c}\right) = \log_b a - \log_b c\), we can rewrite the expression \(\log_{11} \left(\frac{14}{t}\right)\).

Applying the rule:

\[
\log_{11} \left(\frac{14}{t}\right) = \log_{11} 14 - \log_{11} t
\]

Therefore, the correct response is:

**log₁₁14 − log₁₁t** (logarithm subscript 11 baseline 14 minus logarithm subscript 11 baseline t).